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# Piece: https://leibnizlegible.com/api/records/989/text
# Catalogue record: 989 — [Aufz. zu Differentialgleichungen]
# Incipit: dy : dx = (1) ~[y, x, a] unde sublata y fit differentio-differentialis
# Date: 1676
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=989&katnr=58571
# Work: https://leibnizlegible.com/work/00068051
# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 6
# Folios: Bl. 27 (from the shelfmark LH 35, 6, 6 Bl. 27): 2 pages, canvases 53–54, page ids 00068051:0053 to 00068051:0054
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068051&page=53
# Lines: 48 recognised on 2 of 2 pages, mean confidence 0.81
# Catalogue: Leibniz-Katalog / Arbeitskatalog der Leibniz-Edition (https://leibniz-katalog.bbaw.de/), ed. Arbeitsstelle Potsdam I der Berlin-Brandenburgischen Akademie der Wissenschaften, CC BY 4.0.
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
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# After the first blank line, page by page: a "## Folio <label> — <page id>" line ("## Canvas <n>" where no folio label is recorded), "# " lines naming its source image and model, then its recognised lines in reading order, one per line.

## Folio 27r — 00068051:0053
# Source image: https://digitale-sammlungen.gwlb.de/content/00068051/jpgs/default/00000053.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 45 lines, status machine
aqu
dy. dx = Y, X, a
unde sublata y fit different dofratis (2) in qua a, X, dy, dx ddy, der
assumotur sede du et relatio3 inter dZ, dx, X, a, dy Cujus dsfralis et sit formula
4
aequalis constanti disprerentiali, coposita ex dz, dx, X, a, dus cujus differentitlis sit og.6)
in qua d.
dx, X, a, dy, ddze dax adque sumliter ex est. 3. siet ag. (6) in
ua eoedem habemus ergo 644. 2, 3, , 5, 6 quam ope tollendae 
dZ, adque, X, a sed video non posse tolli omnes
Aequalio 1. differentietur per ag (2) tublata y.
Astumatur 
imula nova in qua , dx, du x, a, eaque differentietur, posito esse eam
rmulam aeq. V. et habebitur aeg. (A).  ope aeq2 et 3 id agitur ut formular
(3 sit talis, quae differcunuli sua tollat simul X et c ut ope 8g. 4 et 2
inter se junctarum tollatur simul y et a
sit
V  dy: dx Z, posito (q fieri ex X et a, utcunque
dy = dy: dX dZ +
e
fier
ydat idus dx = e ddxodus,: ax sit dy. dx =  Y,
fiet dy = raz
 y ar
= X a
ddo rdau +ardz + y dartag
sempl res huc
Verali p
c
at
= dy: dx
data erat y = YZ
t dy = aX, dx, ddx
seu dy dx dy: dx = _ X: a; addx : dx seu dy = ax X:a, addx: dx
sit quantitas composita ex et X sit C quantitas composita ex Xleta et, site
 quantitas oposita ex a et ex, et ficet 6axdus r
et
at
dx dys + 
Ddaxdus
daxiDdar
fiet a jar e esset sum abilis isforet in vato
2
e
X X.a, adax. du

## Folio 27v — 00068051:0054
# Source image: https://digitale-sammlungen.gwlb.de/content/00068051/jpgs/default/00000054.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 3 lines, status machine
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